What is the Least Common Multiple of 29080 and 29098?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 29080 and 29098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29080 and 29098, than apply into the LCM equation.

GCF(29080,29098) = 2
LCM(29080,29098) = ( 29080 × 29098) / 2
LCM(29080,29098) = 846169840 / 2
LCM(29080,29098) = 423084920

Least Common Multiple (LCM) of 29080 and 29098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29080 and 29098. First we will calculate the prime factors of 29080 and 29098.

Prime Factorization of 29080

Prime Factorization of 29098

Now multiplying the highest exponent prime factors to calculate the LCM of 29080 and 29098.

LCM(29080,29098) = 2³ × 5¹ × 727¹ × 14549¹
LCM(29080,29098) = 423084920